Expression Word Problems

Suppose you start a lawn care business in the summertime. You charge a flat fee of $10 plus $4 per hour (h). Write an expression to represent this situation and determine how many hours you need to work in order to make at least $30 for one lawn.

• 10 + 4h; 5 hours

• 10h + 4h; 2 hours

• 10h + 4; 2.6 hours

• 4h; 7.5 hours

Kim wants to take her friends to Hershey Park for her birthday party. Adult tickets are $36 each and child tickets are $25 each. In addition, there is a flat fee of $15 for parking. Write an expression that could be used to calculate the cost of Kim's party, and determine the cost if 5 parents and 12 children went.

• 61x + 15; $1052

• 36x + 25y + 15; $495

• 36 + 25x + 15y; $351

• x + y + 15; $250

A carpenter uses 3 hinges to put up a door. He puts up four doors on the first floor and s doors on the second floor. Write an expression to represent this situation, and determine how many doors he put up on the second floor if he used 27 hinges overall.

• 3s; 9 doors

• 12s + 3; 2 doors

• 12 + 3s; 5 doors

• 9s; 3 doors

During a sale on DVD's, the first DVD purchased costs $15, and each additional DVD costs $10. Write an expression to represent the total cost of the DVD's, and determine how many Jose bought if he spent $55.

• 15 + 10x; 4 DVD's

• 15x + 10; 3 DVD's

• 25x ; 2 DVD's

• 15x + 10x; 5 DVD's

A gymnastics center charges a $60 registration fee and $15 per class. Which expression determines how much money Olivia will pay for gymnastics if x is the number of classes?

• 60 - 15x

• 15x - 60

• 15x + 60

• 210 + 15x

Write an expression that could be used to determine the perimeter of the figure shown below.

• 10x + 2

• 6x + 2

• 5x + 1

• x + 1

Suppose Brian's monthly income can be represented by the expression 8x + 140 and David's monthly income can be represented by the expression 5x + 100. What is the difference in their monthly incomes?

• 13x + 240

• 3x + 240

• 8x + 140 + 5x

• 3x + 40

Kim goes to the mall where she buys a pair of shoes that cost $80 and x shirts that cost $19.99 each. Which expression represents the total amount that Kim spent?

• 80x + 19.99

• 99.99x

• 80 + 19.99x

• none of the above

The table shown below represents the number of hours that Mike practiced his guitar each day. Which expression represents the total amount of time that Mike practiced his guitar?

• 10x

• 7x + 3

• 8x + 3

• none of the above

Suppose Kayla has $150 in her bank account and deposits $40 each month. Write an expression that could be used to determine how much money she has in her account.

• 150 + 40x

• 150x + 40

• 190x

• none of the above